Finding the Third Proportional to 25,866 and 42,619

Step by Step Solution

1. Step 1: Write the proportion equation
   25,866 : 42,619 = 42,619 : x
2. Step 2: Convert to fraction form
   25,866/42,619 = 42,619/x
3. Step 3: Cross multiply
   25,866x = 42,619 × 42,619
4. Step 4: Simplify right side
   25,866x = 1,816,379,161
5. Step 5: Solve for x
   x = 1,816,379,161/25,866
6. Step 6: Final answer
   x = 70,222.65